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Finding the Fourth Proportional to 99,768.57, 149,677.76 and 29,647.88

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Solution

The fourth proportional to 99,768.57, 149,677.76 and 29,647.88 is: 44,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,768.57 : 149,677.76 = 29,647.88 : x
  2. Step 2: Convert to fraction form
    99,768.57/149,677.76 = 29,647.88/x
  3. Step 3: Cross multiply
    99,768.57x = 149,677.76 × 29,647.88
  4. Step 4: Simplify right side
    99,768.57x = 4,437,628,267.15
  5. Step 5: Solve for x
    x = 4,437,628,267.15/99,768.57
  6. Step 6: Final answer
    x = 44,479.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.